Volume of the Solid of Revolution, the Disc Method!
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- čas přidán 28. 10. 2018
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blackpenredpen | 曹老師
this guy is rly flexing a supreme jacket on us while teaching calc. I love it
Ya
is supreme wotyh
He got the drip tho
Today's the day when Leibnitz introduced longer s symbol for integration, 343 years ago.
7^3
Haha, ONLY a mathematician would notice that 343 = 7^3!! Good man! Also, Oct.29th is my birthday, so -- hey! -- nice day to have a birthday!
@@alkankondo89 did you know 343 was the speed of sound in 20 degrees Celsius
Old comment i know but do you know why he changed it?
@@richardjehoe8841 no, why?
the left one is shrek ear
👍😂
:)
Blessings from INDIA
Sir U r really give us a unique math lessons....
Gourav Das thanks!!
@@blackpenredpen wl cm sir
This stuff is so incredible. It always blows my mind how simple, yet ingengious it is.
Thank you, as always a great lecture. I consider you as my main Calculus 2 professor, and that one from my uni is the secondary, lol.
Great explanation, you really deserve +10 million subscribers ,keep it up
A big fan from Saudi Arabia 🇸🇦
Moh Ghz thanks!
Still have PTSD from the washer method
thank you so much for making everything sooo simplified. i was browsing for ages trying to find a video that explained this topic, where they didn't make it seem complicated but none of them explained it as clearly as you! 💝
Keep up the good work
U made me to realise how cool maths is😃
Keep the videos coming
YAY!!!!!😁😁
why do you use the Doraemon tune in the intro?
not complaining.
I achieved mathgasm when I finally understood this
I could not understand this before your video and now I do. Thank you a million times!
great videos lately! all very intresting proofs and concepts, it helps with my studies :D
how does this guy not have 10 million subs?
Thank you! Spanish is my first lenguage but i can understand almost everything you teach. :)
Thank you so much professor!
PERFECT. thank you kindly
Thanks man!. You got me.
Great job! Thank you so much. :)
Thank you so much I have never understood volumes of rotation until this video.
Glad to hear. : )
same lol
This dude makes it seem like calculus it fun and I am actually enjoying it
Nicely explained
very good explanation
Love from India sir. ❤ I love your teaching style
Underrated video!
Why didn’t I find this channel before my physics test?? 😩
your jacket is fire but not as fire as these videos! thank you for this brotha! helping me through calculus
Thanks a lot Sir. Greetings from 🇮🇳
thanks!!!!
thank you
bprp transitions from pure maths to theoretical classical physics
thanks for helping me pass my calculus 2
OMG YOU HAVE A VIDEO ON THIS YASS I WILL NOT FAIL
YOU ARE SO GUDDDD
6:07 Wow! Magical
Please make video of Cartesian to spherical polar coordinate.. I want Jacobian transformation to be solved
love from india 😚
Thank you sir
Very nice and understandable vedio and please make such type of small and understandable videos for shell and washer also because the way of your teaching is well and I understanded this video but I still don't understand washer , and she'll method so please make small vedio for these two mathods also
Find volume if rotate y=lnx about y=x
x from 1 to 2
when you just integrated the function g(y) instead of making it some g(x), I felt it
start logo !! Good!!!
y = f(x) when you rotate along the y axis, the volume is
(a-taub/2)(integral c to d (f(x)dx)
i think
Love the doraemon opening in the beginning
for god sake, my teacher was 3 hours to explain this and i didnt understand anything, thanks a lot
Great
Hello teacher, do you have a long video like those "50 integrals world record" but for definite integrals and areas/volumes like this video?
i love you bro
Great vedio
That's it!
I wonder is it possible to calculate the area of a totally irregular shape which has no vertical/horizontal lines for the upper bounce and lower bounce
Smart
Disc-ribe the shape 1:45 nice
i love u!!!
Fancy intro. Nice
is there a function such that the volume, area, and arc length are all equal?
Sir, can you make a video about the volume of a function y=f(x) rotated about the line ax+by+c=0. Thanks in advance! 😃
Interesting problem, I show this in my linear algebra class because it involves doing a change of basis.
What's the limit as n-> infinity of 1/ln(1+10^-n) - 10^n?
nice vid btw!!
Isn't it easier to see that by relabeling variables the right one is the same as the left one? x -> y, y -> x?
Yeah, the 2nd part of the video is pretty much useless as it's exactly the same as the 1st.
#YAY!
Hi, can you make videos about periodic function and period.
Like, how can I find the least period of f(x) = tg(11x/34) + ctg(13x/34).
(It's 34pi, but I don't know how prove it)
Валентин Илюшин I did it already. Search it
Why is the thickness dx? Whats the difference between having x and dx for this?
For the width of element piece you should use delta x (symbol) instead of dx. Just some advice but overall good video.
examples if you please for basic integrals
We made it
That doraemon intro though...
The drip 💧 method
What is the volume of an object which is formed by rotating the common region between the graphs of y=x² and x=y² about the line(axis) x+y=4
Can you solve it for me ❤️❤️❤️
FIITJEE aits question?😅
@@srishtikdutta8946 nope
Interesting
@@tsurutuneado5981 give it a try
doraemon song playing in the background
What happens if my equation is y= x * e^x^3 , ( x times e to the power of x cubed ) rotated about y axis , x= 1?... i cant isolate the x here.. idk what to do
What is the integration of dirchlet function
Hadir because Dr adillah❣️
How to find volume for curved water bottle. I took measurements from one water bottle. But, I don't know how to find equation and how to apply in integration. Can you teach us in practical method.
Please make on video sequence and series. Because sequence and series is confusing men
how radius of the disc is equal to y?
ok i got a q, why isn't the thickness here sqrt(1+(dy/dx)²) dx like the SA one
Why error is not considered I mean we cannot take dx we have to take dx(y'²+1)^1/2
Nobita is smart.
All recommendations are after exams, why can't before
wtf is that the doraemon tune in intro? xd
I need a heart!
The Juk you got it! Have a great day!
You made my day!😍
Who else thought the opening piano was the opening of doraemon 😭
Is that doraemon music
Please do the derivative of:
n•(sin(nx))^n + n•(cos(nx))^n.
Thanks :D
(I failed there :x)
Bro i think its n*(n-1)*sin(nx)*cos(nx) and u do the same for the other one.
Someone correct me if im wrong.
What is did was consider sin(nx)=u
And the derivative of n*u^n is n*(n-1)*u*u'
(1) *The derivative of (sin nx)^n is* n•(nx)'•cos nx•(sin nx)^(n-1) = *n^2•(sin nx)^(n-1)•cos nx.*
(2) *The derivative of (cos nx)^n is* n•(nx)'• -sin nx•(cos nx)^(n-1) = *-n^2•(cos nx)^(n-1)•sin nx.*
Adding (1) and (2), and multiplying by n (a constant) *the derivative of n•(sin nx)^n + n•(cos nx)^n is n^3•(sin nx)^(n-1)•cos nx - n^3•(cos nx)^(n-1)•sin nx.*
@3lie TechHack: The derivative of n*u^n is n² · u^(n - 1) · u', not n · (n - 1) · u · u'. Furthermure, u is defined as sin(nx) and its derivative is n · cos(nx) and not just cos(nx). So the derivative of n · (sin(nx))^n is actually n³[(cos(nx))^(n - 1) · sin(nx) - (sin(nx))^(n - 1) · cos(nx)].
@@MarioFanGamer659 thxx a lot bro we have just started taking derivatives in school and im still a little lost but i'll get the hang of it over time
@@MarioFanGamer659
You're right. I was looking at his wrong answer and was confused myself.
No I can't concentrate because of that Doraemon theme
LOL spoke too soon.
well the shape of the first thing clearly is a fruit bowl. it looks like my mums fruit bowl just on the side. and damn it really is easy, never thought something that looks this complicated is infact totally simple if you remember what the integral is (i tend to tell my student "normal summation sign didn´t cut it, so we need a new summation sign. how would you abbreviate a sum? with an S right. guy who invented that stuff had worse handwriting than me, that´s why the integral sign looks like that") and what dx or dy means. brilliant video mate
いいね
You are as like mat Parker
dodgers boston red sox
The solid rotated about the x-axis looks like a fruit bowl.
Isn't "∫g(y)dy" the same as "∫g(x)dx"
HA u used blue pen not red. :') Youre blackpenbluepen now
Doraemon
What's your name, sir?
Mr. 曹
unua udalbiu fumsnii dudap ingwee chilchalcghi monghnuu
Can you please, telepatically connect with me so you can write my calculus 2 exam for me in 5hrs? Please! I know it won't take you the 3 hrs... it'll probably only be like 20min for you.
Wooo second :(
Under 301 club anyone?
first